What is the Greatest Common Factor of 75812 and 75822?

Greatest common factor (GCF) of 75812 and 75822 is 2.

GCF(75812,75822) = 2

We will now calculate the prime factors of 75812 and 75822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75812 and 75822.

How to find the GCF of 75812 and 75822?

We will first find the prime factorization of 75812 and 75822. After we will calculate the factors of 75812 and 75822 and find the biggest common factor number .

Step-1: Prime Factorization of 75812

Prime factors of 75812 are 2, 11, 1723. Prime factorization of 75812 in exponential form is:

75812 = 2² × 11¹ × 1723¹

Step-2: Prime Factorization of 75822

Prime factors of 75822 are 2, 3, 12637. Prime factorization of 75822 in exponential form is:

75822 = 2¹ × 3¹ × 12637¹

Step-3: Factors of 75812

List of positive integer factors of 75812 that divides 75812 without a remainder.

1, 2, 4, 11, 22, 44, 1723, 3446, 6892, 18953, 37906

Step-4: Factors of 75822

List of positive integer factors of 75822 that divides 75812 without a remainder.

1, 2, 3, 6, 12637, 25274, 37911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75812 and 75822. The biggest common factor number is the GCF number.
So the greatest common factor 75812 and 75822 is 2.

Also check out the Least Common Multiple of 75812 and 75822